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Nahm sums, quiver A-polynomials and topological recursion

Nahm sums, quiver A-polynomials and topological recursion

We consider a large class of $q$-series that have the structure of Nahm sums, or equivalently motivic generating series for quivers. First, we initiate a systematic analysis and classification of classical and quantum A-polynomials associated to such $q$-series. These quantum quiver A-polynomials encode recursion relations satisfied by the above series, …